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Simplifying 4w3 + -8w = 0 Reorder the terms: -8w + 4w3 = 0 Solving -8w + 4w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(-2 + w2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-2 + w2)' equal to zero and attempt to solve: Simplifying -2 + w2 = 0 Solving -2 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + w2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + w2 = 0 + 2 w2 = 0 + 2 Combine like terms: 0 + 2 = 2 w2 = 2 Simplifying w2 = 2 Take the square root of each side: w = {-1.414213562, 1.414213562}Solution
w = {0, -1.414213562, 1.414213562}
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